Simplify the expression (2x - 6)(3x² - 3x - 6). 

Solution:

Given, the expression is (2x - 6)(3x² - 3x - 6).

We have to simplify the expression.

By multiplicative and distributive property,

(2x - 6)(3x² - 3x - 6)

[(2x × 3x²) (2x ×(- 3x))(2x ×(- 6))]-[(6× 3x²)  + 6× (- 3x) + (6 ×- 6)]

= 6x³ - 6x² - 12x - [18x² -18x - 36]

= 6x³ - 6x² - 12x - 18x² + 18x + 36

By grouping the like terms, we get the expression

= 6x³ - 6x² - 18x² - 12x + 18x + 36

= 6x³ - 24x² + 6x + 36

Therefore, the simplified expression is 6x³ - 24x² + 6x + 36.

Simplify the expression (2x - 6)(3x² - 3x - 6).

Summary:

The simplified form of the expression (2x - 6)(3x² - 3x - 6) is 6x³ - 24x² + 6x + 36.